Least Common Multiple of 7135 and 7143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7135 and 7143 the smallest integer that is 50965305 that is divisible by both numbers.

Least Common Multiple (LCM) of 7135 and 7143 is 50965305.

LCM(7135,7143) = 50965305

LCM of 7135 and 7143

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7135 and 7143

LCM of 7135 and 7143 is 50965305

Least common multiple can be found by multiplying the highest exponent prime factors of 7135 and 7143. First we will calculate the prime factors of 7135 and 7143.

Prime Factorization of 7135


5 7135
1427 1427
1

Prime factors of 7135 are 5,1427. Prime factorization of 7135 in exponential form is:

7135 = 51×14271

Prime Factorization of 7143


3 7143
2381 2381
1

Prime factors of 7143 are 3,2381. Prime factorization of 7143 in exponential form is:

7143 = 31×23811

Now multiplying the highest exponent prime factors to calculate the LCM of 7135 and 7143.

LCM(7135,7143) = 31×51×14271×23811
LCM(7135,7143) = 50965305

Factors of 7135

List of positive integer factors of 7135 that divides 7135 without a remainder.

1, 5, 1427, 7135

Factors of 7143

List of positive integer factors of 7143 that divides 7143 without a remainder.

1, 3, 2381, 7143

Least Common Multiple of 7135 and 7143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7135 and 7143, than apply into the LCM equation.

GCF(7135,7143) = 1
LCM(7135,7143) = ( 7135 × 7143) / 1
LCM(7135,7143) = 50965305 / 1
LCM(7135,7143) = 50965305

Properties of LCM 7135 and 7143

(i) The LCM of 7143 and 7135 is associative

LCM of 7135 and 7143 = LCM of 7143 and 7135

Related Least Common Multiples of 7135

Related Least Common Multiples of 7143

Frequently Asked Questions on LCM of 7135 and 7143

1. What is the LCM of 7135 and 7143?

Answer: LCM of 7135 and 7143 is 50965305.

2. What are the Factors of 7135?

Answer: Factors of 7135 are 1, 5, 1427, 7135. There are 4 integers that are factors of 7135. The greatest factor of 7135 is 7135.

3. What are the Factors of 7143?

Answer: Factors of 7143 are 1, 3, 2381, 7143. There are 4 integers that are factors of 7143. The greatest factor of 7143 is 7143.

4. How to Find the LCM of 7135 and 7143?

Answer:

Least Common Multiple of 7135 and 7143 = 50965305

Step 1: Find the prime factorization of 7135

7135 = 5 x 1427

Step 2: Find the prime factorization of 7143

7143 = 3 x 2381

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 50965305 = 3 x 5 x 1427 x 2381

Step 4: Therefore, the least common multiple of 7135 and 7143 is 50965305.